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Finding the Fourth Proportional to 370,033.64, 510,645.54 and 200,267.90

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Solution

The fourth proportional to 370,033.64, 510,645.54 and 200,267.90 is: 276,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,033.64 : 510,645.54 = 200,267.90 : x
  2. Step 2: Convert to fraction form
    370,033.64/510,645.54 = 200,267.90/x
  3. Step 3: Cross multiply
    370,033.64x = 510,645.54 × 200,267.90
  4. Step 4: Simplify right side
    370,033.64x = 102,265,909,940.17
  5. Step 5: Solve for x
    x = 102,265,909,940.17/370,033.64
  6. Step 6: Final answer
    x = 276,369.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.